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Answer :
To solve the problem of how many concert tickets Max can buy without exceeding his budget, let's break it down step by step:
1. Understand the Components of the Problem:
- Max has a total amount of money he can spend, which is [tex]$145.
- Each concert ticket costs $[/tex]25.
2. Determine What We Need to Find:
- We need to find the maximum number of tickets he can buy so that the total cost does not exceed [tex]$145.
3. Set Up the Inequality:
- If "t" represents the number of tickets, then the total cost of the tickets can be expressed as \( 25 \times t \) (since each ticket costs $[/tex]25).
- We want this total cost to be less than or equal to Max's total budget. Hence, the inequality is:
[tex]\[
25 \times t \leq 145
\][/tex]
4. Conclusion:
- The inequality that correctly models the problem is [tex]\( 25t \leq 145 \)[/tex].
Therefore, the inequality [tex]\( 25t \leq 145 \)[/tex] will help Max determine the maximum number of tickets he can purchase without exceeding his budget.
1. Understand the Components of the Problem:
- Max has a total amount of money he can spend, which is [tex]$145.
- Each concert ticket costs $[/tex]25.
2. Determine What We Need to Find:
- We need to find the maximum number of tickets he can buy so that the total cost does not exceed [tex]$145.
3. Set Up the Inequality:
- If "t" represents the number of tickets, then the total cost of the tickets can be expressed as \( 25 \times t \) (since each ticket costs $[/tex]25).
- We want this total cost to be less than or equal to Max's total budget. Hence, the inequality is:
[tex]\[
25 \times t \leq 145
\][/tex]
4. Conclusion:
- The inequality that correctly models the problem is [tex]\( 25t \leq 145 \)[/tex].
Therefore, the inequality [tex]\( 25t \leq 145 \)[/tex] will help Max determine the maximum number of tickets he can purchase without exceeding his budget.
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